I remove all strings first. Then clean and polish. Then, on a 3/3 peghead, I put on the low E, then A, then D without tightening very much. Then I do high E, B, and G in order. Then I tune to pitch, play, re-tune, play, re-tune, play, etc. until the strings hold pitch. On a six-in-line peghead (Fender). I change the order to EADGBE.
Bill, tgo